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Ratio and Proportional Relationships - Printable Math Worksheets 6th Grade - Wayground

Ratio and Proportional Relationships

Rusty Ramsey

Created by Rusty Ramsey

7 questions

6th Grade

Math

Updated Feb 2026

Ratio and Proportional Relationships is a Grade 6 mathematics worksheet that helps students apply proportional reasoning in practical contexts. The seven multiple-choice questions ask students to find percentages from survey data, calculate times using constant rates and fractional relationships, extend patterns in tables, determine missing proportional values, and convert a measurement from inches to centimeters using a unit rate. Students also interpret combined survey categories to estimate a total percentage. This worksheet is useful for introducing or reviewing how ratios connect quantities across tables, rates, percentages, and measurement conversions. The multiple-choice format gives students practice selecting and checking proportional solutions while revealing whether they can preserve relationships between quantities and convert units accurately. It is a free printable worksheet with a complete answer key, suitable for Grade 6 independent practice, homework, review, or a quick formative assessment.

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WaygroundWorksheets

Ratio and Proportional Relationships

Total questions: 7

Name
Class
Date
1.
What percentage of people surveyed prefer tacos?

What percentage of people surveyed prefer tacos?

a)

30%

b)

36%

c)

38%

d)

42%

2.

Alex runs 3 miles in 14 minutes at a constant speed. Abel runs 1 mile in 3/4 the amount of time Alex runs 1 mile. How long does it take for Abel to run 1 mile?

a)

2 3/4 minutes

b)

3 1/2 minutes

c)

3 11/12 minutes

d)

4 2/3 minutes

3.

Vicki reads 2 books in 3 hours and 12 minutes. She reads at a constant speed. Michelle reads 1 book in half the amount of time it takes Vicki to read 1 book. How long does it take Michelle to read 1 book, in minutes?

a)

32 minutes

b)

48 minutes

c)

64 minutes

d)

96 minutes

4.
The table lists the number of people who shop at a store throughout the day. If the pattern continues, what is the total…

The table lists the number of people who shop at a store throughout the day. If the pattern continues, what is the total number of shoppers 8 hours after the store opens?

a)

84

b)

96

c)

108

d)

120

5.
Which is the missing value in this table

Which is the missing value in this table

a)

9

b)

8

c)

7

d)

6

6.
There are 2.54 centimeters in 1 inch. How would the length shown of the black bar on the ruler be expressed in centimeters?

There are 2.54 centimeters in 1 inch. How would the length shown of the black bar on the ruler be expressed in centimeters?

a)

20.145

b)

25.40

c)

9.0

d)

17.145

7.
Approximately what percentage of the people surveyed prefer hot dogs or chicken nuggets?

Approximately what percentage of the people surveyed prefer hot dogs or chicken nuggets?

a)

46%

b)

16%

c)

51%

d)

61%

WaygroundAnswer Key

Ratio and Proportional Relationships

Total questions: 7

1.
a)

30%

2.
b)

3 1/2 minutes

3.
b)

48 minutes

4.
b)

96

5.
c)

7

6.
d)

17.145

7.
d)

61%

FAQs

What does the Ratio and Proportional Relationships worksheet cover?

This Grade 6 mathematics worksheet uses seven multiple-choice questions to practise applying proportional relationships across survey percentages, constant-rate time problems, proportional tables, missing values, and inch-to-centimeter conversion. Students must preserve the relationship between quantities, adjust rates by fractions such as one-half or three-fourths, extend patterns, and combine percentage categories to select the correct solution.

How can I use this worksheet to teach ratio and proportional relationships?

Introduce the worksheet by modeling one proportional situation, such as converting a known rate into the time for one mile or one book. Then have students identify the quantities that change together in the time, table, percentage, and measurement questions before choosing an answer. Ask students to justify why their selected option preserves the same ratio, and use the survey-percentage items to discuss how separate categories can be combined.

What mistakes should I watch for when students complete this worksheet?

Students may multiply by a fraction in the wrong direction, treat three-fourths of a time as an increase, or forget to convert hours and minutes before comparing rates. In the table and percentage items, watch for extending an additive pattern when the relationship is proportional or combining the wrong survey categories. For the ruler item, students may use the conversion factor backward instead of multiplying the inch measurement by 2.54 centimeters per inch.

How do I assign and grade this ratio and proportional relationships worksheet?

On Wayground, you can assign this worksheet as a printable PDF or as a digital quiz, and it includes a complete answer key for all seven multiple-choice questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app, while the digital quiz supports online response collection and grading.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so the percentage, rate, table, and unit-conversion choices are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when that better supports access to these multiple-choice problems.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students build essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.